Question

find the discriminant of the quadratic equation 2x2-3x+1=0.And determine the nature of the root​

Answer 1

Given that ,

The quadratic eq is 2x² - 3x + 1 = 0

Here ,

a = 2

b = -3

c = 1

As we know that ,

$\sf \star \: \: Two \: unequal \: real \: roots \: , \: if \: {(b)}^{2}- 4ac > 0 \\ \\ \sf \star \: \:Two \: equal \: real \: roots \: , \: if \: {(b)}^{2} - 4ac = 0 \\ \\ \sf \star \: \:</p><p>Two \: unequal \: imaginary \: roots \: , \: if \: {(b)}^{2} - 4ac < 0$

Thus ,

$\sf \Rightarrow {(3)}^{2} - 4 × 2 × 1 \\ \\ \sf \Rightarrow </p><p>9 - 8 \\ \\ \sf \Rightarrow </p><p>1 > 0$

$\therefore \underline{\sf \bold{The \: given \: equation \: has \: two \: unequal \: real \: roots }}$

Answer 2

MARK AS BRAINLIEST.

real and unequal

Step-by-step explanation:

2x^2-3x +1 = o

2x^2-2x -x +1 =o

2x(x-1)- (x-1) =o

(2x-1) (x-1) =0

x=1 or x=1/2

roots are positive